Enter the desperate, smoky atmosphere of a Chinese casino, where frumpy players bet an average of five times more than the typical Vegas gambler. Sit down next to grandmothers who smoke like chimneys while playing baccarat—the local game of choice—with visiting high rollers. Then step out of the climate-controlled chill and into tropical air that embraces you like a warm, balmy hug. Welcome to Macau.

The many contrasts in this tiny enclave of 559,000 people serve as reminders of how very different cultures have embraced one another's traditions for hundreds of years. Though Macau's population is 95% ethnic Chinese, there are still vibrant pockets of Portuguese and Filipino expats. And some of the thousands of Eurasians—who consider themselves neither Portuguese nor Chinese, but something in between—can trace the intermarriage of their ancestors back a century or two.

Macau's old town, while dominated by the buildings, squares, and cobblestone alleyways of colonial Portugal, is tinged with eastern influences as well, as in the Buddhist temple at the junction of the Travessa de Dom Quixote and Travessa de Sancho Panca. In Macau you can spend an afternoon strolling the black sands of Hác-Sá Beach before feasting on a dinner of bacalhau com natas (dried codfish with a cream sauce), grilled African chicken (spicy chicken in a coconut-peanut broth—a classic Macanese dish), Chinese lobster with scallions, or fiery prawns infused with Indian and Malaysian flavors. Wash everything down with vinho verde, the crisp young wine from northern Portugal, and top it all off with a traditional Portuguese pastel de nata (egg-custard tart) and dark, thick espresso.